Goodness-of-fit tests for discrete and censored data, based on the empirical distribution function

Goodness-of-fit tests for discrete and censored data, based on the empirical distribution function

In this thesis two general problems concerning goodness-of- fit statistics based on the empirical distribution are considered. The first concerns the problem of adapting Kolmogorov-Smirnov type statistics to test for discrete populations. The significance points of the statistics are given and vario...

Full description

Bibliographic Details
Main Author: Pettitt, Anthony
Published: University of Nottingham 1973
Subjects:
519
QA276 Mathematical statistics
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.514926
id ndltd-bl.uk-oai-ethos.bl.uk-514926
record_format oai_dc
spelling ndltd-bl.uk-oai-ethos.bl.uk-5149262015-03-20T03:18:45ZGoodness-of-fit tests for discrete and censored data, based on the empirical distribution functionPettitt, Anthony1973In this thesis two general problems concerning goodness-of- fit statistics based on the empirical distribution are considered. The first concerns the problem of adapting Kolmogorov-Smirnov type statistics to test for discrete populations. The significance points of the statistics are given and various power comparisons made. The second problem concerns testing for goodness-of-fit with censored data using the Cramér-von Mises type statistics. The small and large sample distributions are given and the tests are modified so that they can be used to test for the normal and the exponential distributions. The asymptotic theory is developed. Percentage points for the statistics are given and various small sample and large sample power studies are made, for the various cases.519QA276 Mathematical statisticsUniversity of Nottinghamhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.514926http://eprints.nottingham.ac.uk/11257/Electronic Thesis or Dissertation
collection NDLTD
sources NDLTD
topic 519
QA276 Mathematical statistics
spellingShingle 519
QA276 Mathematical statistics
Pettitt, Anthony
Goodness-of-fit tests for discrete and censored data, based on the empirical distribution function
description In this thesis two general problems concerning goodness-of- fit statistics based on the empirical distribution are considered. The first concerns the problem of adapting Kolmogorov-Smirnov type statistics to test for discrete populations. The significance points of the statistics are given and various power comparisons made. The second problem concerns testing for goodness-of-fit with censored data using the Cramér-von Mises type statistics. The small and large sample distributions are given and the tests are modified so that they can be used to test for the normal and the exponential distributions. The asymptotic theory is developed. Percentage points for the statistics are given and various small sample and large sample power studies are made, for the various cases.
author Pettitt, Anthony
author_facet Pettitt, Anthony
author_sort Pettitt, Anthony
title Goodness-of-fit tests for discrete and censored data, based on the empirical distribution function
title_short Goodness-of-fit tests for discrete and censored data, based on the empirical distribution function
title_full Goodness-of-fit tests for discrete and censored data, based on the empirical distribution function
title_fullStr Goodness-of-fit tests for discrete and censored data, based on the empirical distribution function
title_full_unstemmed Goodness-of-fit tests for discrete and censored data, based on the empirical distribution function
title_sort goodness-of-fit tests for discrete and censored data, based on the empirical distribution function
publisher University of Nottingham
publishDate 1973
url http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.514926
work_keys_str_mv AT pettittanthony goodnessoffittestsfordiscreteandcensoreddatabasedontheempiricaldistributionfunction
_version_ 1716779925286944768

Similar Items